Non-linear piezoelectric and ferroelectric actuators - Analysis and potential advantages

Journal of Intelligent Material Systems and Structures

Volumn 19, Issue 9, 2008, Pages 1077-1088

  Kushnir, Uri ^a   Rabinovitch, Oded ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Active structures; Analytical models; Ferroelectric materials; Micro fiber composite; Non linear; Piezoelectric materials; Stack actuators

Indexed keywords

ACTUATORS; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; CANTILEVER BEAMS; FERROELECTRICITY; PIEZOELECTRIC ACTUATORS; PIEZOELECTRIC DEVICES; PIEZOELECTRIC TRANSDUCERS; PIEZOELECTRICITY; STRAIN;

ACTIVE STRUCTURES; ANALYTICAL MODELS; FERROELECTRIC MATERIALS; MICRO-FIBER-COMPOSITE; NON-LINEAR; PIEZOELECTRIC MATERIALS; STACK ACTUATORS;

LINEAR EQUATIONS;

EID: 50649113033     PISSN: 1045389X     EISSN: 15308138     Source Type: Journal    
DOI: 10.1177/1045389X07083312     Document Type: Article

References (34)

1. Achuthan, A., Keng, A.K. and Ming, W.C. 2001. ''Shape Control of Coupled Nonlinear Piezoelectric Beams, '' Smart Materials and Structures, 10 (5). 914-924.
2. Chaplya, P.M. and Carman, G.P. 2001. ''Dielectric and Piezoelectric Response of Lead Zirconate-lead Titanate at High Electric and Mechanical Loads in Terms of Non-180 Degrees Domain Wall Motion, '' Journal of Applied Physiscs, 90 (10). 5278-5286.
3. Delibas, B., Arockiarajan, A. and Seemann, W. 2004. ''Nonlinear Simulation of Piezoceramic Materials using Micromechanical Approach'' (AIAA paper 2004-1811), 45th AIAA/ASME/ASCE/ AHS/ASC Structures, Structural Dynamics & Materials Conference and the 12th AIAA/ASME/AHS Adaptive Structures Conference.
4. Huber, J.E. and Fleck, N.A. 2004. ''Ferroelectric Switching: a Micromechanics Model Versus Measured Behavior, '' European Journal of Mechanics A/Solids, 23 (2). 203-217.
5. Huber, J.E., Fleck, N.A., Landis, C.M. and McMeeking, R.M. 1999. ''A Constitutive Model for Ferroelectric Polycrystals, '' Journal of the Mechanics and Physics of Solids, 47 (8). 1663-1697.
6. Hwang, S.C., Lynch, C.S. and McMeeking, R.M. 1995. ''Ferroelectric/ Ferroelastic Interactions and a Polarization Switching Model, '' Acta Metallurgica et Materialia, 43 (5). 2073-2084.
7. Hwang, S.C., Huber, J.E., McMeeking, R.M. and Fleck, N.A. 1998. ''The Simulation of Switching in Polycrystalline Ferroelectric Ceramics, '' Journal of Applied Physics, 84 (3). 1530-1540.
8. Hwang, S.C. and McMeeking, R.M. 1999. ''A Finite Element Model of Ferroelastic Polycrystals, '' International Journal of Solids and Structures, 36 (10). 1541-1556.
9. Joshi, P.S. 1992. ''Non-linear Constitutive Relations for Piezoceramic Materials, '' Smart Materials and Structures, 1 (1). 80-83.
10. Kamlah, M. 2001. Review Article: Ferroelectric and Ferroelastic Piezoceramics - Modeling of Electromechanical Hysteresis Phenomena, Continuum Mechanics and Thermodynamics, 13 (4). 219-268.
11. Kamlah, M. and Bohle, U. 2001. ''Finite Element Analysis of Piezoceramic Components Taking into Account Ferroelectric Hysteresis Behavior, '' International Journal of Solids and Structures, 38 (4). 605-633.
12. Kamlah, M., Bohle, U. and Munz, D. 2000. ''On a Nonlinear Finite Element Method for Piezoelectric Structures Made of Hysteretic Ferroelectric Ceramics, '' Computational Materials Science, 19 (1-4). 81-86.
13. Kamlah, M. and Jiang, Q. 1999. ''A Constitutive Model for Ferroelectric PZT Ceramics under Uniaxial Loading, '' Smart Materials and Structures, 8 (4). 441-459.
14. Kamlah, M., Liskowsky, A.C., McMeeking, R.M. and Balke, H. 2005. ''Finite Element Simulation of a Polycrystalline Ferroelectric Based on a Multidomain Single Crystal Switching Model, '' International Journal of Solids and Structures, 42 (9-10). 2949-2964.
15. Kamlah, M. and Tsakmakis, C. 1999. ''Phenomenological Modeling of the Non-linear Electromechanical Coupling in ferroelectrics, '' International Journal of Solids and Structures, 36 (5). 669-695.
16. Kushnir, U. and Rabinovitch, O. 2007. ''Grain Orientation Scattering in Nonlinear Constitutive Modeling of Piezoelectric-ferroelectric Materials, '' Journal of Intelligent Material Systems and Structures, 18 (11). 1149-1163.
17. Kushnir, U. and Rabinovitch, O. 2008. ''A Principle of Virtual Work and Governing Equations for Nonlinear Ferro-electro-elasticity,'' Acta Mechanica DOI (10.1007/s00707-008-0004-z).
18. Landis, C.M. 2000. ''Fully Coupled, Multi-axial, Symmetric Constitutive Laws for Polycrystalline Ferroelectric Ceramics,'' Journal of the Mechanics and Physics of Solids, 50 (1). 127-152.
19. Landis, C.M. 2004. ''Non-linear Constitutive Modeling of Ferroelectrics,'' Current Opinion in Solid State and Material Science, 8 (1). 59-69.
20. Lee, S., Jang, S.H., Kim, Y.S., Park, C.H. and Yoon, K.J. 2005. ''Material Nonlinear Characteristics of the 320HD PZT Wafer under High Electrical Fields'', Actuators and Sensors A: Physical, 121 (2). 450-456.
21. Lu, W., Fang, D.-N., Li, C.Q. and Hwang, K.-C. 1999. ''Nonlinear Electric-mechanical Behavior and Micromechanics Modeling of Ferroelectric Domain Evolution, '' Acta Materialia, 47 (10). 2913-2926.
22. Lynch, C.S. 1996. ''The Effect of Uniaxial Stress on the Electromechanical Response of 8/65/35 PLZT, '' Acta Materialia, 44 (10). 4137-4148.
23. McMeeking, R.M. and Landis, C.M. 2002. ''A Phenomenological Multi-axial Constitutive Law for Switching in Polycrystalline Ferroelectric Ceramics, '' International Journal of Engineering Science, 40 (14). 1553-1577.
24. Mitrovic, M., Carman, G.P. and Straub, F.K. 2001. ''Response of Piezoelectric Stack Actuators under Combined Electro-mechanical Loading, '' International Journal of Solids and Structures, 38 (24-25). 4357-4374.
25. Narita, F., Shindo, Y. and Hayashi, K. 2005. ''Bending and Polarization of Piezoelectric Laminated Actuators under Electromechanical Loading, '' Computers and Structures, 83 (15-16). 1164-1170.
26. Rabinovitch, O. and Vinson, J.R. 2003. ''On the Design of Piezoelectric Smart Fins for Flight Vehicles, '' Smart Materials and Structures, 12 (5). 686-695.
27. Rodel, J. and Kreher, W.F. 2000. ''Self-consistent Modeling of Non-linear Effective Properties of Polycrystalline Ferroelectric Ceramics, '' Computational Materials Science, 19 (1-2). 123-132.
28. Sun, D. and Tong, L. 2004. ''Static Shape Control of Structures using Nonlinear Piezoelectric Actuators with Energy Constraints, '' Smart Materials and Structures, 13 (6). 1059-1068.
29. Tan, P. and Tong, L. 2001. ''Micromechanics Models for Non-linear Behavior of Piezo-electric Fiber Reinforced Composite Materials, '' International Journal of Solids and Structures, 38 (50-51). 8999-9032.
30. Toupin, R.A. 1956. ''The Elastic Dielectric, '' Journal of Rational Mechanical Analysis, 5 (6). 849-915.
31. Von Wagner, U. and Hagedorn, P. 2002. Piezo-beam Systems Subjected to Weak Electric Field: Experiments and Modeling of Non-linearities,'' Journal of Sound and Vibration, 256 (5). 861-872.
32. Yang, J.S. and Batra, R.C. 1995. ''Mixed Variational Principles in Non-linear Electroelasticity, '' International Journal of NonLinear Mechanics, 30 (5). 719-725.
33. Yao, L.Q., Zhang, J.G., Lu, L. and Lai, M.O. 2004 a. ''Nonlinear Extension and Bending of Piezoelectric Laminated Plate under Large Applied Field Actuation, '' Smart Materials and Structures, 13 (2). 404-414.
34. Yao, L.Q., Zhang, J.G., Lu, L. and Lai, M.O. 2004 b. ''Nonlinear Static Characteristics of Piezoelectric Bending Actuators under Strong Applied Electric Field, '' Actuators and Sensors A: Physical, 115 (1). 168-175.